Question

can you conclude that these triangles are congruent?

Explanation:

Step1: Analyze vertical angles

Vertical angles are equal. So, $\angle SQT=\angle UQW$.

Step2: Check for congruence criteria

We have $\angle T = \angle W$, $\angle S=\angle U$ and $\angle SQT=\angle UQW$. By the Angle - Angle - Angle (AAA) similarity criterion, the triangles are similar. But for congruence, we need at least one pair of corresponding sides to be equal. There is no information given about the side lengths.

Answer:

no